Basic MathematicsGeometry (KVPY StreamSA (Class 11) Math): Questions 47  52 of 64
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Question number: 47
» Basic Mathematics » Geometry » Triangle and Properties
Question
The angle bisectors BM and CN of a triangle ABC are divided by the in centre I in the ratios 5: 3 and 3: 1 respectively. Then triangle is –
Choices
Choice (4)  Response  

a.  Isosceles 

b.  Equilateral 

c.  Scalene 

d.  All of the above 

Question number: 48
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If and , then MR: MP is –
Choices
Choice (4)  Response  

a. 


b.  1: 2 

c.  2: 1 

d. 


Question number: 49
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 50
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7, 11, 16 is –
Choices
Choice (4)  Response  

a.  64 

b.  36 

c.  77 

d.  44 

Question number: 51
» Basic Mathematics » Geometry » Circle and Properties
Question
The lengths of two parallel chords of a circle are 8 cm and 6 cm. If the smaller chord is at distance 4 cm from the centre, then the distance of the other chord from the centre is –
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  4 

d.  2 

Question number: 52
» Basic Mathematics » Geometry » Triangle and Properties
Question
The number of values of a for which there is an isosceles triangle with sides of length , and is –
Choices
Choice (4)  Response  

a.  1 

b.  0 

c.  2 

d.  3 
